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You can go with CentOS 7, which will be supported for ten years. You can install LXDE/LXQT on it. The other option is Debian 7, but for now it's not clear for how long it's going to be supported. Long support extends the period of software maintenance; it also alters the type and frequency of software updates (patches) to reduce the risk, expense, and ...
You may be interested in Arch Linux. It aims to be simple and lightweight, so very few packages are installed by default.
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